Respuesta :

Answer:

8.0 m/s

Explanation:

KE = ½ mv²

96 J = ½ (3.0 kg) v²

v = 8.0 m/s

The kinetic energy of the object is the energy conserved due to the motion of the object.

A cart of 3 kg mass has the kinetic energy of 96 joules hence the speed of the cart is 8 m/s.

How do you calculate the speed of the cart?

Given that cart has a kinetic energy of 96 Joules and the mass of the cart is 3 kg.

The formula for kinetic energy is given below.

[tex]KE = \dfrac {1}{2} mv^2[/tex]

Where KE is the kinetic energy of the cart, m is the mass of the cart and v is the speed of the cart.

Substituting the given values in the above formula to calculate the speed of the cart.

[tex]96 = \dfrac {1}{2} \times 3\times v^2[/tex]

[tex]v^2 = 64[/tex]

[tex]v = 8 \;\rm m/s[/tex]

Hence we can conclude that the speed of the cart is 8 m/s.

To know more about kinetic energy, follow the link given below.

https://brainly.com/question/999862.